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Modeling Information Diffusion in Online Social Networks with Partial Differential Equations
Authors: --- ---
ISBN: 9783030388522 Year: 2020 Publisher: Cham Springer International Publishing

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Abstract

The book lies at the interface of mathematics, social media analysis, and data science. Its authors aim to introduce a new dynamic modeling approach to the use of partial differential equations for describing information diffusion over online social networks. The eigenvalues and eigenvectors of the Laplacian matrix for the underlying social network are used to find communities (clusters) of online users. Once these clusters are embedded in a Euclidean space, the mathematical models, which are reaction-diffusion equations, are developed based on intuitive social distances between clusters within the Euclidean space. The models are validated with data from major social media such as Twitter. In addition, mathematical analysis of these models is applied, revealing insights into information flow on social media. Two applications with geocoded Twitter data are included in the book: one describing the social movement in Twitter during the Egyptian revolution in 2011 and another predicting influenza prevalence. The new approach advocates a paradigm shift for modeling information diffusion in online social networks and lays the theoretical groundwork for many spatio-temporal modeling problems in the big-data era.


Multi
Mulching in Agroecosystems
Authors: --- --- --- ---
ISBN: 9789811964107 9789811964091 9789811964114 9789811964121 Year: 2022 Publisher: Singapore Springer Nature Singapore :Imprint: Springer

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This book provides insights into recent developments in the use of mulching in agroecosystems with emphasis on the major pros and cons. Increase in human population, climatic changes and agricultural intensification have put enormous pressure on soil and water resources. As a result, we are confronted with challenges to enhance nutrient and water use efficiencies and conserve soil organic matter without compromising crop yields and food security. Increasing the soil organic matter (SOM) via residue return increased nutrient availability and soil physical and biological properties. Management practices, such as straw mulching or incorporation, have significant effects on soil health. Straw addition also increases functionality related to carbon and N metabolism via increasing the microbes and thus greatly contributes to CO2 and N2O emissions. However, the co-use of organic and inorganic fertilizer reduces the N2O emission without compromising crop yield. Mulching has long been advocated to conserve soil moisture and increase the efficiency of macro- and micro-nutrients by improving soil physical, chemical, and biological properties. These effects of mulch are translated into better crop yields while improving soil health and quality in the long run. Therefore, the use of mulching techniques is on the rise in organic as well as conventional agriculture. The book is of great interest for researchers, academics, agriculture extensionists, soil and plant scientist, fertilizer industry, farmers, agro-industrial workers, farm managers, NGOs, and climate and civil society activists.

Keywords

Pedology --- bodemkunde

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